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4420960401664 = 281314132
BaseRepresentation
bin100000001010101010111…
…0001100011100100000000
3120122122021022221210120201
41000111111301203210000
51034413111330323124
613222543340214544
7634255343245642
oct100252561434400
916578238853521
104420960401664
111454a1198aa74
125b498a83a454
13260b82a95ac1
14113d93188892
1579eecacd144
hex40555c63900

4420960401664 has 27 divisors (see below), whose sum is σ = 8824718579313. Its totient is φ = 2210463379968.

The previous prime is 4420960401661. The next prime is 4420960401673. The reversal of 4420960401664 is 4661040690244.

The square root of 4420960401664 is 2102608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3994561849600 + 426398552064 = 1998640^2 + 652992^2 .

It is a super-2 number, since 2×44209604016642 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4420960401661) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 33576022 + ... + 33707434.

Almost surely, 24420960401664 is an apocalyptic number.

4420960401664 is the 2102608-th square number.

It is an amenable number.

4420960401664 is a deficient number, since it is larger than the sum of its proper divisors (4403758177649).

4420960401664 is an frugal number, since it uses more digits than its factorization.

4420960401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262842 (or 131415 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 4420960401664 in words is "four trillion, four hundred twenty billion, nine hundred sixty million, four hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 131413 262826 525652 1051304 2102608 4205216 8410432 16820864 33641728 17269376569 34538753138 69077506276 138155012552 276310025104 552620050208 1105240100416 2210480200832 4420960401664